Two points in a plane have polar coordinates $(2\mathrm{.}70(m),40\mathrm{.}0)$ and $(3\mathrm{.}70(m),100\mathrm{.}0).$

$($a$)$ Determine the Cartesian coordinates of these points.

$(2\mathrm{.}70$ m$,40\mathrm{.}0)$

$x=$

$y=$

$m$

Draw a careful picture of this vector and then check your trigonometry definitions. $m(3\mathrm{.}70$ m$,100\mathrm{.}0)$

$x=$

Draw a careful picture of this vector and then check your trigonometry definitions. $my=$ m

$($b$)$ Determine the distance between them.

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